Hi
I was born and raised in Manhattan and I go back 2x a year. Luxury hotels, sure, depends ont he price Omni Bershire on 52nd street and Mad is good, about 4 -5 star
The Ritz Carlton on Central Park, Four Seasons all 5 star. The Ritz Carlton has the La Praire spa that I go to. One of I think only 2 in the US the other one is on the World Cruise ship that people own appartments on.
You have the Carlyle which is 5 star. There are many 5 star hotels all depends what you want to pay.
If you have any questions about NYC feel free to ask.